213353000 has 128 divisors (see below), whose sum is σ = 590803200. Its totient is φ = 70560000.

The previous prime is 213352999. The next prime is 213353011. The reversal of 213353000 is 353312.

It is a self number, because there is not a number n which added to its sum of digits gives 213353000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202475 + ... + 203525.

It is an arithmetic number, because the mean of its divisors is an integer number (4615650).

Almost surely, 2^213353000 is an apocalyptic number.

213353000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295401600).

213353000 is an abundant number, since it is smaller than the sum of its proper divisors (377450200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213353000 is a wasteful number, since it uses less digits than its factorization.

213353000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 213353000 is about 14606.6080935993. The cubic root of 213353000 is about 597.5389936212.

The spelling of 213353000 in words is "two hundred thirteen million, three hundred fifty-three thousand".